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Finding the Fourth Proportional to 2,722.77, 4,084.89 and 775.14

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Solution

The fourth proportional to 2,722.77, 4,084.89 and 775.14 is: 1,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.77 : 4,084.89 = 775.14 : x
  2. Step 2: Convert to fraction form
    2,722.77/4,084.89 = 775.14/x
  3. Step 3: Cross multiply
    2,722.77x = 4,084.89 × 775.14
  4. Step 4: Simplify right side
    2,722.77x = 3,166,361.63
  5. Step 5: Solve for x
    x = 3,166,361.63/2,722.77
  6. Step 6: Final answer
    x = 1,162.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.